105105066 has 64 divisors (see below), whose sum is σ = 241975296. Its totient is φ = 30139200.

The previous prime is 105105061. The next prime is 105105083. The reversal of 105105066 is 660501501.

It is a super-2 number, since 2×105105066² = 22094149797728712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95616 + ... + 96708.

It is an arithmetic number, because the mean of its divisors is an integer number (3780864).

Almost surely, 2^105105066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105105066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120987648).

105105066 is an abundant number, since it is smaller than the sum of its proper divisors (136870230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105105066 is a wasteful number, since it uses less digits than its factorization.

105105066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105105066 is about 10252.0761799745. The cubic root of 105105066 is about 471.9267008890.

Adding to 105105066 its reverse (660501501), we get a palindrome (765606567).

It can be divided in two parts, 10510 and 5066, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 105105066 in words is "one hundred five million, one hundred five thousand, sixty-six".